Matemáticas
Department


Universitat Autònoma de Barcelona
Barcelona, EspañaPublications in collaboration with researchers from Universitat Autònoma de Barcelona (30)
2023
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Limit Cycles of Polynomially Integrable Piecewise Differential Systems
Axioms, Vol. 12, Núm. 4
2021
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Analytic integrability of quasi-homogeneous systems via the Yoshida method
Journal of Symbolic Computation, Vol. 104, pp. 960-980
2019
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A giant exoplanet orbiting a very-low-mass star challenges planet formation models
Science, Vol. 365, Núm. 6460, pp. 1441-1445
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An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems
Journal of Symbolic Computation, Vol. 95, pp. 1-25
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The CARMENES search for exoplanets around M dwarfs: The Hea i triplet at 10830 Å across the M dwarf sequence
Astronomy and Astrophysics, Vol. 632
2016
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Existence and uniqueness of limit cycles for generalized φ-Laplacian Liénard equations
Journal of Mathematical Analysis and Applications, Vol. 439, Núm. 2, pp. 745-765
2014
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Limit cycles of generalized Liénard polynomial differential systems via averaging theory
Chaos, Solitons and Fractals, Vol. 62-63, pp. 1-9
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Simultaneous bifurcation of limit cycles from a linear center with extra singular points
Bulletin des Sciences Mathematiques, Vol. 138, Núm. 1, pp. 124-138
2013
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A proof of Perko's conjectures for the Bogdanov-Takens system
Journal of Differential Equations, Vol. 255, Núm. 9, pp. 2655-2671
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Planar quasi-homogeneous polynomial differential systems and their integrability
Journal of Differential Equations, Vol. 255, Núm. 10, pp. 3185-3204
2012
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On the polynomial differential systems having polynomial first integrals
Bulletin des Sciences Mathematiques, Vol. 136, Núm. 3, pp. 309-316
2011
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Global study of the Bogdanov-Takens bifurcation curve
XXII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones: XII CMA Congreso de Matemática Aplicada : Palma de Mallorca, 5-9 septiembre de 2011: programa y resúmenes
2009
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Corrigendum to "On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree" [Nonlinear Anal. 69 (12) (2008) 4461-4469] (DOI:10.1016/j.na.2007.11.004)
Nonlinear Analysis, Theory, Methods and Applications
2008
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On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree
Nonlinear Analysis, Theory, Methods and Applications, Vol. 69, Núm. 12, pp. 4461-4469
2007
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Ciclos límite en campos polinomiales utilizando el método averaging
XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas
2006
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Phase portraits of the quadratic vector fields with a polynomial first integral
Rendiconti del Circolo Matematico di Palermo, Vol. 55, Núm. 3, pp. 420-440
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Polynomial first integrals of quadratic vector fields
Journal of Differential Equations, Vol. 230, Núm. 2, pp. 393-421
2003
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A survey on the relation between transitivity and dense periodicity for graph maps
Journal of Difference Equations and Applications, Vol. 9, Núm. 3-4, pp. 281-288
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Periods for continuous self-maps of the figure-eight space
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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Transitivity and dense periodicity for graph maps
Journal of Difference Equations and Applications, Vol. 9, Núm. 6, pp. 577-598